Question

Two women together took 100 eggs to a market, one had more than the other
Both sold them for the same sum of money. The first then said to the second: "If I had your eggs, I would have earned Rs.15", to which the second replied: "If I had
your eggs, I would have earned Rs. 6 2/3." How many eggs did each had in the
beginning?​

Answer 1

Hope this helps

Answer: 40 & 60 Eggs

Step-by-step explanation:

Let say One had  = E  eggs

Then other had =  100 - E   eggs

Let Say Both sold  the eggs for  = S Rs

Selling Price with E  eggs  = S/E

She would have got rs 15 by selling other's egg

=> (S/E)(100 - E)  = 15   - Eq 1

Selling Price with 100-E  eggs  = S/(100-E)

She would have got rs 20/3 by selling other's egg

=> (S/(100-E))E   = 20/3   Eq 2

Eq1/E2

=> (100-E / E)² = 15/(20/3)

=> (100-E / E)² = 9/4

=> 100- E / E = 3/2

=> 200 - 2E = 3E

=> 5E = 200

=> E = 40

One had  40 Eggs

Other Had = 60 eggs